200204142142120 has 32 divisors (see below), whose sum is σ = 451291961864520. Its totient is φ = 79933631604480.

The previous prime is 200204142142087. The next prime is 200204142142153. The reversal of 200204142142120 is 21241241402002.

It is an interprime number because it is at equal distance from previous prime (200204142142087) and next prime (200204142142153).

It can be written as a sum of positive squares in 4 ways, for example, as 86743852795044 + 113460289347076 = 9313638^2 + 10651774^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4625767227 + ... + 4625810506.

Almost surely, 2^{200204142142120} is an apocalyptic number.

200204142142120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200204142142120 is an abundant number, since it is smaller than the sum of its proper divisors (251087819722400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200204142142120 is a wasteful number, since it uses less digits than its factorization.

200204142142120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9251578285 (or 9251578281 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 200204142142120 its reverse (21241241402002), we get a palindrome (221445383544122).

The spelling of 200204142142120 in words is "two hundred trillion, two hundred four billion, one hundred forty-two million, one hundred forty-two thousand, one hundred twenty".